/* Test mpz_perfect_power_p.

   Contributed to the GNU project by Torbjorn Granlund and Martin Boij.

Copyright 2008, 2009, 2010 Free Software Foundation, Inc.

This file is part of the GNU MP Library test suite.

The GNU MP Library test suite is free software; you can redistribute it
and/or modify it under the terms of the GNU General Public License as
published by the Free Software Foundation; either version 3 of the License,
or (at your option) any later version.

The GNU MP Library test suite is distributed in the hope that it will be
useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General
Public License for more details.

You should have received a copy of the GNU General Public License along with
the GNU MP Library test suite.  If not, see http://www.gnu.org/licenses/.  */

#include <stdio.h>
#include <stdlib.h>

#include "gmp.h"
#include "gmp-impl.h"
#include "tests.h"

struct
{
  const char *num_as_str;
  char want;
} tests[] =
  {
    { "0", 1},
    { "1", 1},
    {"-1", 1},
    { "2", 0},
    {"-2", 0},
    { "3", 0},
    {"-3", 0},
    { "4", 1},
    {"-4", 0},
    { "64", 1},
    {"-64", 1},
    { "128", 1},
    {"-128", 1},
    { "256", 1},
    {"-256", 0},
    { "512", 1},
    {"-512", 1},
    { "0x4000000", 1},
    {"-0x4000000", 1},
    { "0x3cab640", 1},
    {"-0x3cab640", 0},
    { "0x3e23840", 1},
    {"-0x3e23840", 0},
    { "0x3d3a7ed1", 1},
    {"-0x3d3a7ed1", 1},
    { "0x30a7a6000", 1},
    {"-0x30a7a6000", 1},
    { "0xf33e5a5a59", 1},
    {"-0xf33e5a5a59", 0},
    { "0xed1b1182118135d", 1},
    {"-0xed1b1182118135d", 1},
    { "0xe71f6eb7689cc276b2f1", 1},
    {"-0xe71f6eb7689cc276b2f1", 0},
    { "0x12644507fe78cf563a4b342c92e7da9fe5e99cb75a01", 1},
    {"-0x12644507fe78cf563a4b342c92e7da9fe5e99cb75a01", 0},
    { "0x1ff2e7c581bb0951df644885bd33f50e472b0b73a204e13cbe98fdb424d66561e4000000", 1},
    {"-0x1ff2e7c581bb0951df644885bd33f50e472b0b73a204e13cbe98fdb424d66561e4000000", 1},
    { "0x2b9b44db2d91a6f8165c8c7339ef73633228ea29e388592e80354e4380004aad84000000", 1},
    {"-0x2b9b44db2d91a6f8165c8c7339ef73633228ea29e388592e80354e4380004aad84000000", 1},
    { "0x28d5a2b8f330910a9d3cda06036ae0546442e5b1a83b26a436efea5b727bf1bcbe7e12b47d81", 1},
    {"-0x28d5a2b8f330910a9d3cda06036ae0546442e5b1a83b26a436efea5b727bf1bcbe7e12b47d81", 1},
    {NULL, 0}
  };


void
check_tests ()
{
  mpz_t x;
  int i;
  int got, want;

  mpz_init (x);

  for (i = 0; tests[i].num_as_str != NULL; i++)
    {
      mpz_set_str (x, tests[i].num_as_str, 0);
      got = mpz_perfect_power_p (x);
      want = tests[i].want;
      if (got != want)
	{
	  fprintf (stderr, "mpz_perfect_power_p returns %d when %d was expected\n", got, want);
	  fprintf (stderr, "fault operand: %s\n", tests[i].num_as_str);
	  abort ();
	}
    }

  mpz_clear (x);
}

#define NRP 15

void
check_random (int reps)
{
  mpz_t n, np, temp, primes[NRP];
  int i, j, k, unique, destroy, res;
  unsigned long int nrprimes, primebits;
  mp_limb_t g, exp[NRP], e;
  gmp_randstate_ptr rands;

  rands = RANDS;

  mpz_init (n);
  mpz_init (np);
  mpz_init (temp);

  for (i = 0; i < NRP; i++)
    mpz_init (primes[i]);

  for (i = 0; i < reps; i++)
    {
      mpz_urandomb (np, rands, 32);
      nrprimes = mpz_get_ui (np) % NRP + 1; /* 1-NRP unique primes */

      mpz_urandomb (np, rands, 32);
      g = mpz_get_ui (np) % 32 + 2; /* gcd 2-33 */

      for (j = 0; j < nrprimes;)
	{
	  mpz_urandomb (np, rands, 32);
	  primebits = mpz_get_ui (np) % 100 + 3; /* 3-102 bit primes */
	  mpz_urandomb (primes[j], rands, primebits);
	  mpz_nextprime (primes[j], primes[j]);
	  unique = 1;
	  for (k = 0; k < j; k++)
	    {
	      if (mpz_cmp (primes[j], primes[k]) == 0)
		{
		  unique = 0;
		  break;
		}
	    }
	  if (unique)
	    {
	      mpz_urandomb (np, rands, 32);
	      e = 371 / (10 * primebits) + mpz_get_ui (np) % 11 + 1; /* Magic constants */
	      exp[j++] = g * e;
	    }
	}

      if (nrprimes > 1)
	{
	  /* Destroy d exponents, d in [1, nrprimes - 1] */
	  if (nrprimes == 2)
	    {
	      destroy = 1;
	    }
	  else
	    {
	      mpz_urandomb (np, rands, 32);
	      destroy = mpz_get_ui (np) % (nrprimes - 2) + 1;
	    }

	  g = exp[destroy];
	  for (k = destroy + 1; k < nrprimes; k++)
	    g = mpn_gcd_1 (&g, 1, exp[k]);

	  for (j = 0; j < destroy; j++)
	    {
	      mpz_urandomb (np, rands, 32);
	      e = mpz_get_ui (np) % 50 + 1;
	      while (mpn_gcd_1 (&g, 1, e) > 1)
		e++;

	      exp[j] = e;
	    }
	}

      /* Compute n */
      mpz_pow_ui (n, primes[0], exp[0]);
      for (j = 1; j < nrprimes; j++)
	{
	  mpz_pow_ui (temp, primes[j], exp[j]);
	  mpz_mul (n, n, temp);
	}

      res = mpz_perfect_power_p (n);

      if (nrprimes == 1)
	{
	if (res == 0 && exp[0] > 1)
	  {
	    printf("n is a perfect power, perfpow_p disagrees\n");
	    gmp_printf("n = %Zu\nprimes[0] = %Zu\nexp[0] = %lu\n", n, primes[0], exp[0]);
	    abort ();
	  }
	else if (res == 1 && exp[0] == 1)
	  {
	    gmp_printf("n = %Zu\n", n);
	    printf("n is now a prime number, but perfpow_p still believes n is a perfect power\n");
	    abort ();
	  }
	}
      else
	{
	  if (res == 1)
	    {
	      gmp_printf("n = %Zu\nn was destroyed, but perfpow_p still believes n is a perfect power\n", n);
	      abort ();
	    }
	}
    }

  mpz_clear (n);
  mpz_clear (np);
  mpz_clear (temp);
  for (i = 0; i < NRP; i++)
    mpz_clear (primes[i]);
}

int
main (int argc, char **argv)
{
  int n_tests;

  tests_start ();
  mp_trace_base = -16;

  check_tests ();

  n_tests = 500;
  if (argc == 2)
    n_tests = atoi (argv[1]);
  check_random (n_tests);

  tests_end ();
  exit (0);
}
